Time Left - 20:00 mins
GATE EC : Signals & Systems Champion Quiz 5
Attempt now to get your rank among 1100 students!
Question 1
The unilateral Laplace transform of 
is 
. The unilateral Laplace transform t f(t) is
is . The unilateral Laplace transform t f(t) is Question 2
The impulse response of a causal linear time-invariant system is given as h(t). Now consider the following two statements:
Statement (I): Principle of superposition holds
Statement (II): h(t) = 0 for t < 0.
Which one of the following statements is correct?
Statement (I): Principle of superposition holds
Statement (II): h(t) = 0 for t < 0.
Which one of the following statements is correct?
Question 3
Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is
Question 4
A signal e–at sin (wt) is the input to a real Linear Time Invariant system. Given K and f are constant, the output of the system will be of the form Ke–bt sin(nt + f) where
Question 5
The open-loop transfer function of a unity-gain feedback control system is given by
The gain margin of the system in dB is given by
The gain margin of the system in dB is given by
Question 6
The positive values of “K” and “a” so that the system shown in the figure below oscillates at a frequency of 2 rad/sec respectively are
Question 7
is an independent and identically distributed (i, i, d) random process with Xn equally likely to be + 1 or –1, 
is another random process obtained as
. The autocorrelation function of 
denoted by RY [k] is
Question 8
A causal LTI system is described by the difference equation
2y [n] = ay[n – 2] – 2x [n] + bx [n – 1]
the system is stable only if
2y [n] = ay[n – 2] – 2x [n] + bx [n – 1]
the system is stable only if
Question 9
A system with input x[n] and output y[n] is given as 
. The system is:
. The system is: Question 10
A signal x(t) = sinc (αt) where α is a real constant 
is the input to a Linear Time invariant system whose impulse response h(t) = sinc (βt) where β is a real constant. If min(α, β) denotes the minimum of α and β, and similarly max (α, β) denotes the maximum of α and β, and K is a constant, which one of the following statements is true about the output of the system?
is the input to a Linear Time invariant system whose impulse response h(t) = sinc (βt) where β is a real constant. If min(α, β) denotes the minimum of α and β, and similarly max (α, β) denotes the maximum of α and β, and K is a constant, which one of the following statements is true about the output of the system? - 1100 attempts
- 1 upvote
- 15 comments
Feb 26ESE & GATE EC
